What is the Least Common Multiple of 51075 and 51080?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 51075 and 51080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51075 and 51080, than apply into the LCM equation.

GCF(51075,51080) = 5
LCM(51075,51080) = ( 51075 × 51080) / 5
LCM(51075,51080) = 2608911000 / 5
LCM(51075,51080) = 521782200

Least Common Multiple (LCM) of 51075 and 51080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51075 and 51080. First we will calculate the prime factors of 51075 and 51080.

Prime Factorization of 51075

Prime Factorization of 51080

Now multiplying the highest exponent prime factors to calculate the LCM of 51075 and 51080.

LCM(51075,51080) = 3² × 5² × 227¹ × 2³ × 1277¹
LCM(51075,51080) = 521782200